已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913021_ST/0.png)
(I)求函数f(x)的最小正周期和单调增区间;
(II)函数f(x)的图象可以由函数y=sin2x(x∈R)的图象经过怎样的变换得到?
考点分析:
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在△ABC中,角A、B、C所对的边分别为a、b、c,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913020_ST/0.png)
=(2a,1),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913020_ST/1.png)
=(2b-c,cosC)且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913020_ST/2.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913020_ST/3.png)
.
求:
(I)求sinA的值;
(II)求三角函数式
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913020_ST/4.png)
的取值范围.
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设f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913018_ST/0.png)
,
(1)求f(x)+f(60°-x);
(2)求f(1°)+f(2°)+…+f(59°)的值.
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已知函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913017_ST/0.png)
(1)求函数f(x)的最小值和最小正周期;
(2)设△ABC的内角A、B、C的对边分别为a,b,c,且c=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913017_ST/1.png)
,f(C)=0,若向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913017_ST/2.png)
与向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913017_ST/3.png)
共线,求a,b的值.
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已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913016_ST/0.png)
.
(1)设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913016_ST/1.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913016_ST/2.png)
,求θ的值;
(2)在△ABC中,AB=1,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123713132691389/SYS201310251237131326913016_ST/3.png)
,且△ABC的面积为
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,求sinA+sinB的值.
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